All categories

3 years ago

Find the length of the altitude to the hypotenuse. Round the answer to the nearest tenth. Solve for AD.

Mathematics

1 answer:

dedylja [7]3 years ago

4 0

Answer:

AD = 2.4

Step-by-step explanation:

All of the triangles in this figure are similar, so their corresponding sides have the same ratios.

The short side of ΔABD is 3/5 of the hypotenuse, which is 4.

AD/AB = CA/CB . . . . = short side/hypotenuse

AD = AB(CA/CB) = 4(3/5) = 2.4

The length of AD is 2.4 units.

_____

You can also go at this in terms of area.

A = 1/2bh = 1/2(3)(4) = 1/2(5)(AD) ⇒ AD = 12/5 = 2.4

You might be interested in

Here are the first five terms of an arithmetic sequence.

Assoli18 [71]

Answer:

The nth term of an AP will be 27 -7n.

Step-by-step explanation:

First five terms of the Arthemetic Sequence is given to us , which is 26 , 19 , 12 , 5

Hence here Common Difference can be found by subtracting two consecutive terms . Here which is 19 - 26 = (-7) .

Here first term is 26 .

And the nth term of an AP is given by ,

★ T_n = a + ( n - 1) d

Substituting respective values ,

⇒ T_n = a + ( n - 1 )d

⇒ T_n = 26 + (n - 1)(-7)

⇒ T_n = 26 -7n+1

⇒ T_n = 27 - 7n

<h3>Hence the nth term of an AP can be found using T_n = 27 - 7n. </h3>

8 0

3 years ago

Performance Matters

Yuliya22 [10]

Answer: most likely be (7,7) not sure right or wrong but i tried so yeah

Step-by-step explanation:

7 0

3 years ago

Cos(0)=square root 3/3, sin 0<0. what is the value of sin0

abruzzese [7]

Answer:

sin θ = $\frac{\sqrt{6} }{3}$

Step-by-step explanation:

Given that,

cos θ = $\frac{\sqrt{3} }{3}$

From the trigonometric functions,

cos θ = $\frac{adjacent}{hypotenus}$

⇒ adjacent = $\sqrt{3}$ , and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

$/hyp/^{2}$ = $/adj/^{2}$ + $/opp/^{2}$

$/3/^{2}$ = $(\sqrt{3} )^{2}$ + $x^{2}$

9 = 3 + $x^{2}$

$x^{2}$ = 9 - 3

= 6

x = $\sqrt{6}$

Thus, opposite side = $\sqrt{6}$

So that,

sin θ = $\frac{opposite}{hypotenuse}$

= $\frac{\sqrt{6} }{3}$

Therefore,

sin θ = $\frac{\sqrt{6} }{3}$

6 0

3 years ago

Find (7x10^6) - (4x10^4)

Grace [21]

Answer: 6,960,000

Steps: (7 × 10⁶) - (4 × 10⁴)

Remove parentheses: 7 × 10⁶ - 4 × 10⁴

7 × 10⁶ = 7,000,000

4 × 10⁴ = 40,000

7,000,000 - 40,000 = 6,960,000

Plz mark brainliest:)

3 0

3 years ago

Use the graph representing bacteria decay to estimate the domain of the function and solve for the average rate of change across

nasty-shy [4]

Answer:

Domain is $[0,18]$

Average rate of change of bacteria per minute is -3333.33.

Step-by-step explanation:

Domain is the possible values of $x$ .

From the graph, it's clear that the $x$ values ranges from 0 to 18 as the end points of the graph are $(0,60)$ and $(18,0)$

So, domain of the function is $[0,18]$ .

Now, average rate of change is negative as there is bacteria decay.

Average rate of change is given as the negative ratio of y intercept to the x intercept.

Here, x-intercept is 18 and y-intercept is 60000.

So, average rate of change is given as,

$R_{avg}=-\frac{60000}{18}=-3333.33$

Therefore, average rate of change of bacteria per minute is -3333.33.

5 0

3 years ago

Read 2 more answers